Answer :

Factors of 8(x2-4)=2×2×2×(x-2)×(x + 2)

Factors of 12(x3 + 8)


=2×2×3×(x + 2)×(x2-2x + 4)


… ((x3 + 8)= (x + 2)×(x2-2x + 4) from properties)


Factors of 36(x2-3x-10)


Factors of (x2-3x-10)


=(x2-5x + 2x-10)


=x(x-5) + 2(x-5)


=(x + 2)(x-5)


Factors of 36(x2-3x-10)=2×2×3×3×(x + 2)×(x-5)


GCD is the greatest common divisor, which is equal to the product of all the common divisors.


the GCD of 8(x2-4),12(x3 + 8),36(x2-3x-10) is 4(x + 2)


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